The Derivative as a Function. Determine the value or values of x for which the tangent to f is horizontal by first finding the derivative of f with respect to x then solving f'(x) = 0 for x. PART 1. f(x) 9 f'(x) 18 f(x + h) – f(x) f(2) – f(æ) NOTE: for this problem, you should use the definition of derivative, f'(x) = lim h>0 or the equivalent form f'(x) = lim z - x PART 2. The tangent to the curve is horizontal at: NOTE: Type answer in form x = c. Separate multiple answers with a comma, such as x =1, x = -1 Note: You can earn partial credit on this problem.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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The Derivative as a Function.
Determine the value or values of x for which the tangent to f is horizontal by first finding the derivative of f with respect to x then solving f'(x) = 0 for x.
PART 1.
x2
f(x)
f'(x)
18
f(x +h) – f(x)
= lim
h0
NOTE: for this problem, you should use the definition of derivative, f'(x)
or the equivalent form f'(æ) = lim F(2) – f(x)
PART 2.
The tangent to the curve is horizontal at:
NOTE: Type answer in form x = c. Separate multiple answers with a comma, such as x = 1, x = -1
Note: You can earn partial credit on this problem.
Transcribed Image Text:The Derivative as a Function. Determine the value or values of x for which the tangent to f is horizontal by first finding the derivative of f with respect to x then solving f'(x) = 0 for x. PART 1. x2 f(x) f'(x) 18 f(x +h) – f(x) = lim h0 NOTE: for this problem, you should use the definition of derivative, f'(x) or the equivalent form f'(æ) = lim F(2) – f(x) PART 2. The tangent to the curve is horizontal at: NOTE: Type answer in form x = c. Separate multiple answers with a comma, such as x = 1, x = -1 Note: You can earn partial credit on this problem.
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